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Simplifying -54 = 3(7r + 6) + 6(3 + -6r) Reorder the terms: -54 = 3(6 + 7r) + 6(3 + -6r) -54 = (6 * 3 + 7r * 3) + 6(3 + -6r) -54 = (18 + 21r) + 6(3 + -6r) -54 = 18 + 21r + (3 * 6 + -6r * 6) -54 = 18 + 21r + (18 + -36r) Reorder the terms: -54 = 18 + 18 + 21r + -36r Combine like terms: 18 + 18 = 36 -54 = 36 + 21r + -36r Combine like terms: 21r + -36r = -15r -54 = 36 + -15r Solving -54 = 36 + -15r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '15r' to each side of the equation. -54 + 15r = 36 + -15r + 15r Combine like terms: -15r + 15r = 0 -54 + 15r = 36 + 0 -54 + 15r = 36 Add '54' to each side of the equation. -54 + 54 + 15r = 36 + 54 Combine like terms: -54 + 54 = 0 0 + 15r = 36 + 54 15r = 36 + 54 Combine like terms: 36 + 54 = 90 15r = 90 Divide each side by '15'. r = 6 Simplifying r = 6
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